Search a number
-
+
4344334368 = 253117157943
BaseRepresentation
bin1000000101111000…
…10100100000100000
3102012202122001101220
410002330110200200
532344122144433
61555030055040
7212441142603
oct40274244040
912182561356
104344334368
11192a299790
12a12aaa480
13543072b6a
142d2d8833a
151a65e02b3
hex102f14820

4344334368 has 96 divisors (see below), whose sum is σ = 12616031232. Its totient is φ = 1297900800.

The previous prime is 4344334367. The next prime is 4344334373. The reversal of 4344334368 is 8634334434.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×43443343682 = 37746482201971918848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4344334361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46005 + ... + 103947.

It is an arithmetic number, because the mean of its divisors is an integer number (131416992).

Almost surely, 24344334368 is an apocalyptic number.

4344334368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4344334368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308015616).

4344334368 is an abundant number, since it is smaller than the sum of its proper divisors (8271696864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4344334368 is a wasteful number, since it uses less digits than its factorization.

4344334368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58038 (or 58030 counting only the distinct ones).

The product of its digits is 995328, while the sum is 42.

The square root of 4344334368 is about 65911.5647515669. The cubic root of 4344334368 is about 1631.7028846852.

The spelling of 4344334368 in words is "four billion, three hundred forty-four million, three hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 213 264 284 352 426 528 568 781 852 1056 1136 1562 1704 2272 2343 3124 3408 4686 6248 6816 9372 12496 18744 24992 37488 57943 74976 115886 173829 231772 347658 463544 637373 695316 927088 1274746 1390632 1854176 1912119 2549492 2781264 3824238 4113953 5098984 5562528 7648476 8227906 10197968 12341859 15296952 16455812 20395936 24683718 30593904 32911624 45253483 49367436 61187808 65823248 90506966 98734872 131646496 135760449 181013932 197469744 271520898 362027864 394939488 543041796 724055728 1086083592 1448111456 2172167184 4344334368